The Mathematical Olympiad Program is an intensive summer program held at Carnegie Mellon University. The main purpose of MOP, held since 1974, is to select and train the six members of the U.S. team for the International Mathematical Olympiad. Students qualify for the program by taking the United States of America Mathematical Olympiad. The top twelve American scorers from all grades form the "black" group. The approximately eighteen next highest American scorers among students from 11th grade and under form the "blue" group. In 2004, the program was expanded to include approximately thirty of the highest-scoring American freshmen and sophomores each year, the "red" group; this was later split into two, forming the "green" group, which consists of approximately fifteen of the highest-scoring freshmen and sophomores who have qualified through the USAMO, and the "red" group, which consists of those who have qualified through the USAJMO. The colorful designations of these groups were adapted from Karate. Also, with the new system the Black Group includes more or less only the IMO team, which is not necessarily all USAMO winners. Until 2011, only Black MOPpers were eligible for the selection to the USA IMO team, determined by combining USAMO results with results of a similar competition called the Team Selection Test. From 2011, a new competition called the Team Selection Test Selection Test was established; this competition is open for any of the participants of MOP, and along with results from the USAMO, determines the students who take the TSTs. This ultimately, along with the USAMO and MOP competitions, determines the IMO team. Canadians are allowed to write the USAMO but not to participate in MOP unless they are U.S. residents. Occasionally, when Canadians are amongst the USAMO winners, top scoring honorable mentions are added to the black group. These additional students are also eligible for the IMO team. In 2005, such a student did qualify for the team and went on to win a gold medal at the IMO. Under the TSTST system, effective 2011, honorable mentions can qualify for the IMO team and will be placed in the black group if they do so.
Cutoff scores
Red cutoffs 2010 onward refer to USAJMO while 2009 before refer to USAMO.
Year
Black
Blue
Green
Red
2002
35
2003
28
2004
24
2005
29
2006
25
18
9
2007
23
17
9
2008
28
20
10
2009
27
18
8
2010
29
23
18
35
2011
35
28
21
28
2012
35
22
17
21
2013
30
22
14
29
2014
32
22
13
25
2015
27
16
11
27
2016
28
20
14
21
2017
25
20
16
36
2018
24
22
15
27
2019
32
24
22
33
2020
?
?
?
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However, the cutoff scores for groups are not entirely rigid; some students are moved between groups at the beginning of the program. However, they do dictate who is invited to the program. As part of the process of selecting members of the European Girls Math Olympiad, many years the Math Olympiad program has additionally invited female students to the camp. In 2017, the cutoff was 13 for the USAMO and 20 for the USAJMO. In 2018, the cutoff was 8 for USAMO and 11 for USAJMO.
For years, the idea of extending the training program for the U.S. IMO team was discussed. During the 2004-2005 school year, U.S. IMO team coach Zuming Feng directed the Winter Olympiad Training Program, utilizing the Art of Problem Solving site for discussion purposes. The program was short-lived, lasting only that year. MOP participants are now able to participate for free in Art of Problem Solving's WOOT program for year-round olympiad training.